and yes. It is very simple that on online chess you dont have an arbiter. So with an arbiter present you can claim a draw in the K+B vs K+B game because the arbiter will probably give it (if you have increment you can just play for ever) and if you have less than 2min left you can claim under the g.5 rule if it is in effect. But online you dont have an arbiter and if there is technically a chance that Mate can occur then you must play on and cannot claim jack! :)
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